{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GMsh Fluid\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/mesh/FVM_Cylinder_GMsh.ipynb)\n",
    "\n",
    "This example simulates incompressible flow around a cylinder using FVM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %pip install --quiet phiflow meshio\n",
    "from phi.torch.flow import *\n",
    "# from phi.flow import *  # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
    "from tqdm.notebook import trange"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's download the example mesh file and visualize it!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "!wget https://raw.githubusercontent.com/tum-pbs/PhiFlow/master/examples/mesh/cylinder.msh -O cylinder.msh\n",
    "\n",
    "mesh = geom.load_gmsh('cylinder.msh', ('y-', 'x+', 'y+', 'x-', 'cyl+', 'cyl-'))\n",
    "plot(Box(x=6, y=6), mesh, overlay='args', size=(4, 3), title='cylinder.msh')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we can define the fluid dynamics. The momentum equation uses diffusion and advection while incompressibility is maintained by solving a separate linear system via `make_incompressible`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit_compile_linear\n",
    "def momentum_eq(u, u_prev, dt, diffusivity=0.01):\n",
    "    diffusion_term = dt * diffuse.differential(u, diffusivity, correct_skew=False)\n",
    "    advection_term = dt * advect.differential(u, u_prev, order=1)\n",
    "    return u + advection_term + diffusion_term\n",
    "\n",
    "@jit_compile\n",
    "def implicit_time_step(v, dt):\n",
    "    v = math.solve_linear(momentum_eq, v, Solve(x0=v), u_prev=v, dt=-dt)\n",
    "    v, p = fluid.make_incompressible(v, (), Solve('scipy-direct'))\n",
    "    return v"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's set the boundary and initial conditions and run the simulation!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8f2c152787f64fa79a5f3a170750bd0b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "boundary = {'x-': vec(x=1, y=0), 'x+': ZERO_GRADIENT, 'y': 0, 'cyl': 0}\n",
    "velocity = Field(mesh, tensor(vec(x=0, y=0)), boundary)\n",
    "v_trj = math.iterate(implicit_time_step, batch(time=100), velocity, dt=0.001, range=trange)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "Ny4xMDA=\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x213afb4d610>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(v_trj * .1, v_trj.to_grid(), animate='time')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "phiflow2",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
